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anonymous

  • one year ago

A fair coin is tossed 4 times in a row. If X is the number of heads counted, which table gives the probability distribution of X?

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  1. anonymous
    • one year ago
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    @rational

  2. anonymous
    • one year ago
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  3. rational
    • one year ago
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    whats the probability for getting heads on all 4 coins ?

  4. anonymous
    • one year ago
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    1/2?

  5. rational
    • one year ago
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    how ?

  6. rational
    • one year ago
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    may i know why do you think it is 1/2

  7. anonymous
    • one year ago
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    its a 50/50 chance to land on head.

  8. rational
    • one year ago
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    its a 50/50 chance to land head on one coin

  9. rational
    • one year ago
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    but when you have four coins, the probability for landing heads on "ALL" four coins need not be 1/2 right

  10. rational
    • one year ago
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    the probability is actually 1/2*1/2*1/2*1/2 = 1/16

  11. anonymous
    • one year ago
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    so what like 1/4?

  12. anonymous
    • one year ago
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    oh sorry. 4 coins. my bad

  13. rational
    • one year ago
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    Yes, another question whats the probability for getting NOT getting heads in any of the four coins ?

  14. anonymous
    • one year ago
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    1/2 each so total would be another 1/16?

  15. rational
    • one year ago
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    Yep! so P(X=0) is 1/16 and P(X=4) is also 1/16

  16. rational
    • one year ago
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    Now, whats the probability of getting exactly ONE head ?

  17. rational
    • one year ago
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    P(X=1) = ?

  18. anonymous
    • one year ago
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    I would think 1/2 but i know thats not it

  19. rational
    • one year ago
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    one way to get exactly ONE head is : H T T T

  20. rational
    • one year ago
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    notice that there are 3 other ways to get exactly ONE head : T H T T T T H T T T T H

  21. rational
    • one year ago
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    so the probability for getting exactly ONE head is 4/16 = 1/4

  22. rational
    • one year ago
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    see if that makes sense

  23. anonymous
    • one year ago
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    Yes it does, I see what you mean now. okay.

  24. rational
    • one year ago
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    look at the options

  25. anonymous
    • one year ago
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    A?

  26. rational
    • one year ago
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    |dw:1432817476450:dw|

  27. rational
    • one year ago
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    Yes! our work so far matches perfectly with option A

  28. anonymous
    • one year ago
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    Yes thats why I said A, the work matches A and not others

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